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12102120300 = 22352195873617
BaseRepresentation
bin10110100010101011…
…11011001101101100
31011020102021102001210
423101111323031230
5144241120322200
65320514234420
7605621216364
oct132125731554
934212242053
1012102120300
115150371116
122418b85a10
1311ab36b43a
1482b4019a4
154ac6e3650
hex2d157b36c

12102120300 has 144 divisors (see below), whose sum is σ = 36931386240. Its totient is φ = 3051325440.

The previous prime is 12102120227. The next prime is 12102120301. The reversal of 12102120300 is 302120121.

It is a super-2 number, since 2×121021203002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12102120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3344092 + ... + 3347708.

It is an arithmetic number, because the mean of its divisors is an integer number (256467960).

Almost surely, 212102120300 is an apocalyptic number.

12102120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465693120).

12102120300 is an abundant number, since it is smaller than the sum of its proper divisors (24829265940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102120300 is a wasteful number, since it uses less digits than its factorization.

12102120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12102120300 its reverse (302120121), we get a palindrome (12404240421).

The spelling of 12102120300 in words is "twelve billion, one hundred two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 587 950 1140 1174 1425 1761 1900 2348 2850 2935 3522 3617 5700 5870 7044 7234 8805 10851 11153 11740 14468 14675 17610 18085 21702 22306 29350 33459 35220 36170 43404 44025 44612 54255 55765 58700 66918 68723 72340 88050 90425 108510 111530 133836 137446 167295 176100 180850 206169 217020 223060 271275 274892 278825 334590 343615 361700 412338 542550 557650 669180 687230 824676 836475 1030845 1085100 1115300 1374460 1672950 1718075 2061690 2123179 3345900 3436150 4123380 4246358 5154225 6369537 6872300 8492716 10308450 10615895 12739074 20616900 21231790 25478148 31847685 40340401 42463580 53079475 63695370 80680802 106158950 121021203 127390740 159238425 161361604 201702005 212317900 242042406 318476850 403404010 484084812 605106015 636953700 806808020 1008510025 1210212030 2017020050 2420424060 3025530075 4034040100 6051060150 12102120300